On stage, Martin starred with Gary Wilmot in the West End show Me and My Girl for two years at the Adelphi Theatre and then on a national tour.

[1][2] Speaking about her father in a 2019 interview, Martin said that he "was a complex character and much as I loved him, I wanted to give an honest portrayal [in my book] of how self-centred and destructive a 'creative' person can be.

[4] In a 1984 review of her lunchtime show at the Palace Theatre, London bar, Roy Robert Smith of The Stage wrote that Martin was "armed with guts, determination, and talent [and] must surely soon gain the public recognition she deserves.

[4] After seeing Martin perform at the Edinburgh Festival Fringe, Rory Bremner persuaded her to focus on impressions,[5] and the pair appeared on radio together.

In the Nottingham Evening Post, a staff writer commented that Martin "is proving herself to be an accomplished actress, singer, dancer and mickey-taker – definitely a name to watch out for in the future.

[11] In 1988, Milton Shulman of The Evening Standard described Martin performing "The Lady Is a Tramp" in Babes in Arms at the Maynardville Open-Air Theatre as "pert and saucy".

[13] Charles Barron of the Aberdeen Evening Express praised Martin's "exuberance" in the role, and wrote that she sang "with great charm".

[14] From 1989, Martin and Gary Wilmot starred in the West End show Me and My Girl for two years at the Adelphi Theatre and then on a national tour.

[26][27][28] Martin played role of Dame Shirley Porter in Shirleymander by Greg Evans at the Playground Theatre, London in 2018,[29] for which she was nominated for the Best Female Performance in the Off West End Awards 2018.

[30] In the Daily Telegraph, Ben Lawrence wrote that Martin "best known for her impersonations .. does a terrific impression, but it is hard to reach inside the soul of this Rottweiler in a pussycat bow".

[32][33] Martin is a patron of the Music Hall Guild of Great Britain and America, and performed at the 50th anniversary Memorial Service for Lupino Lane at St Paul's, Covent Garden in 2009.